London Algebra Colloquium abstract
Extremely primitive groups
Tim Burness (Southampton), 2nd February 2012
Abstract
A primitive permutation group is said to be extremely primitive if a point
stabiliser acts primitively on each of its nontrivial orbits. By a theorem
of Mann, Praeger and Seress, every finite extremely primitive group is either
almost simple or of affine type, and the affine examples have essentially
been classified. I will explain some of the main ideas in the proof of this
theorem, and I will report on recent joint work with Cheryl Praeger and
Ákos Seress towards a complete classification in the remaining almost simple case.